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Finding the Third Proportional to 177,215.34 and 238,758.89

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Solution

The third proportional to 177,215.34 and 238,758.89 is: 321,675.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,215.34 : 238,758.89 = 238,758.89 : x
  2. Step 2: Convert to fraction form
    177,215.34/238,758.89 = 238,758.89/x
  3. Step 3: Cross multiply
    177,215.34x = 238,758.89 × 238,758.89
  4. Step 4: Simplify right side
    177,215.34x = 57,005,807,852.48
  5. Step 5: Solve for x
    x = 57,005,807,852.48/177,215.34
  6. Step 6: Final answer
    x = 321,675.35

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.